Drawing Gosper Unit

by Tuğrul Yazar | December 10, 2024 23:39

In computer-aided design (CAD), a polyline is a series (or a chain) of straight lines. Each straight section of a polyline is a “segment,” and the points where the segments connect are “vertices.” If a polyline’s starting and ending vertices coincide, it is a “closed polyline” or a “polygon”. If they do not, the polyline is classified as an “open polyline.” Polylines can be planar (2D) or 3D. The Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve and the Flowsnake is a space-filling[1] curve similar to the Dragon Curve[2] or the Hilbert Curve[3]. In this post I explain the basic drawing method of the unit curve of this fractal, naming it as drawing Gosper unit.

drawing gosper unit

In this video series, I present various in-class exercises I led in a freshman-year Architectural Geometry course. With Rhinoceros software, we study Euclidean constructions, basic drawing and transformation commands, fundamental fractals, regular and semi-regular tessellations, patterns, modeling techniques, and unrolling polyhedra. These short drawing exercises also offer value to junior-level architects, interior designers, industrial designers, and enthusiasts from other fields. I will share weekly exercises on my blog and other platforms. Here is the tutorial video: drawing Gosper unit:

The software used in this course is Rhinoceros 3d (www.rhino3d.com[4]). However, if you want to find out more and see the whole list of this video series, you can check my YouTube channel at www.youtube.com/@designcodingnet[5] and my blog at: www.designcoding.net/[6]. You can also check my Instagram page at www.instagram.com/designcodingnet/[7]. The music of this video is ‘At The End Of All Things’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au[8]

Endnotes:
  1. space-filling: https://www.designcoding.net/tag/spacefilling/
  2. Dragon Curve: https://www.designcoding.net/dragon-curve-fractal/
  3. Hilbert Curve: https://www.designcoding.net/hilbert-curve/
  4. www.rhino3d.com: http://www.rhino3d.com
  5. www.youtube.com/@designcodingnet: https://www.youtube.com/@designcodingnet
  6. www.designcoding.net/: https://www.designcoding.net/
  7. www.instagram.com/designcodingnet/: https://www.instagram.com/designcodingnet/
  8. www.scottbuckley.com.au: http://www.scottbuckley.com.au

Source URL: https://www.designcoding.net/drawing-gosper-unit/